Indiana University - Purdue University Fort Wayne Opus: Research & Creativity at IPFW Manufacturing and Construction Engineering Department of Manufacturing and Construction Technology Faculty Publications Engineering Technology 8-2016 Applied Strength of Materials for Engineering Technology Barry Dupen Indiana University - Purdue University Fort Wayne, [email protected] Follow this and additional works at: http://opus.ipfw.edu/mcetid_facpubs Part of the Applied Mechanics Commons This edition has been superseded. Opus Citation Barry Dupen (2016). Applied Strength of Materials for Engineering Technology. 10 ed. Purdue University. http://opus.ipfw.edu/mcetid_facpubs/48 This Book is brought to you for free and open access by the Department of Manufacturing and Construction Engineering Technology at Opus: Research & Creativity at IPFW. It has been accepted for inclusion in Manufacturing and Construction Engineering Technology Faculty Publications by an authorized administrator of Opus: Research & Creativity at IPFW. For more information, please contact [email protected]. Applied Strength of Materials for Engineering Technology Barry Dupen Associate Professor, Mechanical Engineering Technology, Indiana University – Purdue University Fort Wayne v.10 Revised August 2016. This work is licensed under Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) See creativecommons.org for license details. 1 Table of Contents Preface...............................................................................................3 Shear Stress in Beams...............................................................87 Purpose of the Book....................................................................3 Allowable Load.........................................................................92 Editors.........................................................................................4 Chapter 10: Beam Deflection.........................................................94 Cover Photos...............................................................................5 Radius of Curvature..................................................................94 Terminology......................................................................................6 The Formula Method for Simple Cases...................................95 Definitions.........................................................................................9 Formula Method Hints..............................................................98 Chapter 1: Introduction to Strength of Materials...........................11 The Formula Method for Complex Cases: Superposition.......98 What is Strength of Materials?.................................................11 Visualizing the Deflection Curve...........................................100 The Factor-Label Method of Unit Conversion........................12 Chapter 11: Beam Design.............................................................102 Chapter 2: Stress and Strain............................................................17 Wide-Flange Steel Beam Design in Six Easy Steps..............102 Normal Stress and Strain..........................................................17 Timber Beam Design in Six Easy Steps................................108 Sign Convention.......................................................................19 All Other Beams.....................................................................110 Shear Stress and Strain.............................................................20 Chapter 12: Combined Stresses....................................................112 Chapter 3: Poisson's Ratio and Thermal Expansion......................23 Tension + Bending..................................................................112 Poisson's Ratio..........................................................................23 Bending in Two Directions....................................................112 Thermal Expansion and Thermal Stress..................................25 Eccentric Loading...................................................................114 Chapter 4: Pressure Vessels and Stress Concentrations................28 Chapter 13: Statically Indeterminate Beams................................118 Thin-Walled Pressure Vessels..................................................28 Defining Determinate and Indeterminate Beams..................118 Stress Concentration in Tension...............................................30 Method of Superposition........................................................118 Chapter 5: Bolted and Welded Joints.............................................33 Chapter 14: Buckling of Columns................................................124 Bolted Lap Joints Loaded in Tension......................................33 Types of Columns...................................................................124 Welded Lap Joints....................................................................38 Ideal Slender Columns...........................................................124 Chapter 6: Properties of Areas........................................................41 Structural Steel Columns........................................................126 Dimensions and Area................................................................41 Steel Machine Parts................................................................127 Centroid and Centroidal Axes..................................................41 Chapter 15: Visualizing Stress and Strain....................................130 Moment of Inertia of a Rectangle............................................41 Measuring Stress.....................................................................130 Compound Beams Sharing a Centroidal Axis.........................42 Stress at the Base of a Short Block........................................130 Hollow Beams Sharing a Centroidal Axis...............................43 Mohr's Circle...........................................................................131 The Transfer Formula...............................................................44 Bibliography..................................................................................148 Compound Beams With Different Neutral Axes.....................45 Textbooks................................................................................148 Hollow Beams With Different Neutral Axes...........................48 Other Reading Material..........................................................148 Moment of Inertia about the y-y Neutral Axis........................51 Appendix A: Units........................................................................149 Shortcuts....................................................................................54 SI System of Units..................................................................149 Radius of Gyration....................................................................54 US Customary System of Units.............................................149 Polar Moment of Inertia...........................................................54 Appendix B: Materials Properties................................................150 Chapter 7: Torsion in Round Shafts...............................................55 Metals, Concrete, & Stone.....................................................150 Shear Stress in a Round Shaft..................................................55 Appendix C: Properties of Areas..................................................154 Angle of Twist in a Round Shaft..............................................57 Center of Gravity, Area, Moment of Inertia, and Radius of Stress Concentration in Torsion...............................................58 Gyration..................................................................................154 Chapter 8: Beam Reactions, Shear Diagrams, and Moment Appendix D: Properties of Steel Beams and Pipes......................157 Diagrams..........................................................................................60 W-beams.................................................................................157 Loads on Beams........................................................................60 Steel Pipes...............................................................................161 Reactions for Simply-Supported Simple Beams.....................61 Copper Tubing........................................................................162 Reactions for Overhanging and Cantilever Beams..................64 Appendix E: Mechanical and Dimensional Properties of Wood.163 Shear Diagrams.........................................................................66 Mechanical Properties of Air-Dried Boards and Timber......163 Moment Diagrams....................................................................72 Softwood Lumber and Timber Sizes.....................................164 Chapter 9: Stresses in Beams..........................................................82 Appendix F: Beam Equations.......................................................166 Bending Stress in Beams..........................................................82 Index..............................................................................................171 Bending Stress in Wide-Flange Steel Beams..........................84 Index..............................................................................................171 2 Preface Preface Purpose of the Book